On the number of rational points of classifying stacks for Chevalley group schemes

Published 9 Oct 2019 in math.AG, math.AT, and math.RT | (1910.04231v3)

Abstract: We compute the number of rational points of classifying stacks of Chevalley group schemes using the Lefschetz-Grothendieck trace formula of Behrend for $\ell$-adic cohomology of algebraic stacks. From this we also derive associated zeta functions for these classifying stacks.

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